RT Journal Article T1 Jumping pairs of Steiner bundles A1 Arrondo Esteban, Enrique A1 Marchesi, Simone AB In this work we introduce the definition of Schwarzenberger bundle on a Grassmannian. Recalling the notion of Steiner bundle, we generalize the concept of jumping pair for a Steiner bundle on a Grassmannian. After studying the jumping locus variety and bounding its dimension, we give a complete classification of Steiner bundles with jumping locus of maximal dimension, which all are Schwarzenberger bundles PB WALTER DE GRUYTER SN 0933-7741 YR 2015 FD 2015 LK https://hdl.handle.net/20.500.14352/34977 UL https://hdl.handle.net/20.500.14352/34977 LA eng NO E. Arbarello, M. Cornalba, P.A. Griffiths, and J. Harris. Geometry of Algebraic Curves, Volume I. SpringerVerlag, 1985.V. Ancona and G. Ottaviani. Unstable hyperplanes for Steiner bundles and multidimensional matrices. Adv. Geom., 1:165–192, 2001.E. Arrondo. Schwarzenberger bundles of arbitrary rank on the projective space. J. of Lond. Math. Soc., 82:697–716, 2010.I. Dolgachev and M. Kapranov. Arrangements of hyperplanes and vector bundles on P n. Duke Math. J., 71(3):633–664, 1993.S. Marchesi. Jumping spaces in Steiner bundles. PhD thesis, Università degli Studi di Milano, Universidad Complutense de Madrid, 2012.R.M. Miró-Roig and H. Soares. Cohomological characterisation of Steiner bundles. Forum math., 21:871–891, 2009.R.L.E Schwarzenberger. Vector bundles on the projective plane. Proc. London Math. Soc., 11:633–640, 1961.J. Vallès. Fibrés de Schwarzenberger et fibrés logarithmiques généralisés. Bull. Soc. Math. France, 28:433–449, 2000.J. Vallès. Nombre maximal d’hyperplans instables pour un fibré de Steiner. Math. Z., 233:507–514, 2000 NO Ministerio de Educación (España) DS Docta Complutense RD 30 abr 2024